3240679680 has 324 divisors, whose sum is σ = 13045284252. Its totient is φ = 740597760.

The previous prime is 3240679667. The next prime is 3240679681. The reversal of 3240679680 is 869760423.

It can be written as a sum of positive squares in 2 ways, for example, as 1390991616 + 1849688064 = 37296^2 + 43008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240679681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561610 + ... + 567350.

It is an arithmetic number, because the mean of its divisors is an integer number (40263223).

Almost surely, 2^3240679680 is an apocalyptic number.

3240679680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522642126).

3240679680 is an abundant number, since it is smaller than the sum of its proper divisors (9804604572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3240679680 is a wasteful number, since it uses less digits than its factorization.

3240679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3240679680 is about 56926.9679501728. The cubic root of 3240679680 is about 1479.8307086615.

The spelling of 3240679680 in words is "three billion, two hundred forty million, six hundred seventy-nine thousand, six hundred eighty".